If m = 1001 and n = 01- 1

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 Multiple Choice QuestionsMultiple Choice Questions

21.

The adjoint of the matrix A = 102210031 is :

  •  - 162 - 21 - 4631

  • 16 - 2 - 2146 - 31

  •  612 4 - 1 263 - 1

  •  - 621 4 - 2 131 - 6


22.

If p + q + r = a + b + c = 0, then the determinant

paqbrcqcrapbrbpcqa = ?

  • 0

  • 1

  • pa + qb + rc

  • pa + qb + rc + a + b + c


23.

Which of the following determinants have value 'zero' ?

I.   411579792953II.  1ab + c1bc + a1ca + bIII. 0cb - c0a - b - a0

Select the correct answer using the code given below

  • 1 and 2 only

  • 2 and 3 only

  • 1 and 3 only

  • 1, 2 and 3


24.

Let ax3 +bx2 +cx + d = x + 12x3x2x + 3x + 1x2 - x3x + 45x - 1, then

What is the value of c ?

  •  - 1

  • 34

  • 35

  • 50


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25.

Let ax3 +bx2 +cx + d = x + 12x3x2x + 3x + 1x2 - x3x + 45x - 1, then

What is the value of a + b + c + d ?

  • 62

  • 63

  • 65

  • 68


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26.

If m = 1001 and n = 01- 10, then what is the value of the determinant of  mcosθ - nsinθ ?

  •  - 1

  • 0

  • 1

  • 2


C.

1

By closely inspectingm = 1001 and n = 01- 10with respect to cosθ and sinθ, we conclude thatmcosθ - nsinθ=  1001cosθ - 01- 10sinθmcosθ - nsinθ = cosθsinθ - sinθcosθ= cos2θ + sin2θ= 1


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27.

If x + a + b + c = 0, then what is the value of x + abcax + bcabx +c = ?

  • 0

  • (a + b + c)2

  • a2 + b2 + c2

  • a + b + c - 2


28.

What are the values of x that satisfy the equation 

x022x21111 + 3x02x221011 = 0

  • - 2 ± 3

  • - 1 ± 3

  • - 1 ± 6

  • - 2 ± 6


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29.

What is the value of the determinant 1!2!3!2!3!4!3!4!5! ?

  • 0

  • 12

  • 24

  • 36


30.

What is the value of the determinant ii2i3i4i6i8i9i12i15

  • 0

  •  - 2

  • 4i

  • - 4i


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